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Finding the Third Proportional to 13,402.97 and 19,876.64

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Solution

The third proportional to 13,402.97 and 19,876.64 is: 29,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.97 : 19,876.64 = 19,876.64 : x
  2. Step 2: Convert to fraction form
    13,402.97/19,876.64 = 19,876.64/x
  3. Step 3: Cross multiply
    13,402.97x = 19,876.64 × 19,876.64
  4. Step 4: Simplify right side
    13,402.97x = 395,080,842.54
  5. Step 5: Solve for x
    x = 395,080,842.54/13,402.97
  6. Step 6: Final answer
    x = 29,477.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.